Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (+ x y) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	172	296
1	523	282
2	1529	278
3	5002	278

prune65.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	44	6	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (- x y) (+ x y)))
0.0b	(/ (- x y) (+ x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
178×	`times-frac`
126×	`add-sqr-sqrt`
82×	`add-cube-cbrt`
34×	`associate-/r*`
27×	`distribute-lft-out`
24×	`associate-/r/`
23×	`distribute-lft-out--`
22×	`difference-of-squares`
15×	`add-exp-log` `associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `clear-num` `associate-/l/`
3×	`pow1` `frac-2neg` `remove-double-div`
2×	`expm1-log1p-u` `rec-exp` `flip3--` `1-exp` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/ 1 (/ (- x y) (+ x y)))
8.0ms	(/ (- x y) (+ x y))

series136.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ 1 (/ (- x y) (+ x y)))
66.0ms	(/ (- x y) (+ x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	504	1522
1	2265	1367
2	5001	1216

prune153.0ms

Filtered

200 candidates to 87 candidates (43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	201	5	206

Merged error: 0.0b

Counts

206 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- x y))
0.0b	(/ 1 (+ x y))
0.0b	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

954×	`times-frac`
639×	`*-un-lft-identity`
497×	`add-sqr-sqrt`
373×	`add-cube-cbrt`
96×	`associate-/r/`
71×	`distribute-lft-out`
62×	`distribute-lft-out--` `difference-of-squares`
51×	`add-exp-log`
44×	`div-inv`
36×	`div-exp` `associate-/r*`
33×	`associate-/l*`
23×	`flip3-+` `flip-+`
20×	`flip3--` `flip--`
19×	`add-cbrt-cube`
11×	`associate-/l/`
10×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1` `frac-2neg` `clear-num`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`

Counts

3 → 552

Calls

3 calls:

5.0ms	(/ 1 (- x y))
5.0ms	(/ 1 (+ x y))
22.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- x y))
33.0ms	(/ 1 (+ x y))
67.0ms	(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

561 → 561

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	1836	6332
1	5001	5549

prune446.0ms

Filtered

561 candidates to 220 candidates (39.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	561	0	561
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	561	5	566

Merged error: 0.0b

Counts

566 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
0.0b	(/ x (+ x y))
0.1b	(- (/ x (+ x y)) (/ y (+ x y)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

904×	`*-un-lft-identity`
599×	`times-frac`
494×	`add-sqr-sqrt`
434×	`add-cube-cbrt`
324×	`prod-diff`
217×	`associate-/r*`
212×	`associate-/r/`
200×	`frac-sub`
191×	`distribute-lft-out`
129×	`associate-/l*`
50×	`div-inv`
49×	`flip3-+` `flip-+`
47×	`frac-2neg`
43×	`clear-num`
35×	`distribute-lft-out--`
24×	`sub-div`
20×	`difference-of-squares`
18×	`fma-neg`
15×	`distribute-rgt-out--`
12×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`cbrt-undiv`
2×	`flip3--` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

4 → 755

Calls

4 calls:

5.0ms	(/ y (+ x y))
42.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms	(/ x (+ x y))
39.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (+ x y))
82.0ms	(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
40.0ms	(/ x (+ x y))
78.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify157.0ms

Algorithm

egg-herbie

Counts

767 → 767

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1948	14423
1	5001	11391

prune5.2s

Filtered

767 candidates to 339 candidates (44.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	765	2	767
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	768	4	772

Merged error: 0b

Counts

772 → 4

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample279.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid